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1013056813 is a prime number
BaseRepresentation
bin111100011000100…
…000010100101101
32121121020121200201
4330120200110231
54033320304223
6244305153501
734050561256
oct7430402455
92547217621
101013056813
1147a93163a
1224332b891
13131b5c202
1498789b2d
155de0eead
hex3c62052d

1013056813 has 2 divisors, whose sum is σ = 1013056814. Its totient is φ = 1013056812.

The previous prime is 1013056771. The next prime is 1013056853. The reversal of 1013056813 is 3186503101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 889113124 + 123943689 = 29818^2 + 11133^2 .

It is an emirp because it is prime and its reverse (3186503101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1013056813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013056853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506528406 + 506528407.

It is an arithmetic number, because the mean of its divisors is an integer number (506528407).

Almost surely, 21013056813 is an apocalyptic number.

It is an amenable number.

1013056813 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013056813 is an equidigital number, since it uses as much as digits as its factorization.

1013056813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 1013056813 is about 31828.5534229880. The cubic root of 1013056813 is about 1004.3334649556. Note that the first 3 decimals are identical.

Adding to 1013056813 its reverse (3186503101), we get a palindrome (4199559914).

The spelling of 1013056813 in words is "one billion, thirteen million, fifty-six thousand, eight hundred thirteen".